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arxiv: math/0603598 · v1 · pith:KFZWBQHWnew · submitted 2006-03-25 · 🧮 math.OC · math-ph· math.MP

Noether's Theorem for Fractional Optimal Control Problems

classification 🧮 math.OC math-phmath.MP
keywords fractionaltheoremcontrolnoetheroptimalproblemsagrawalauthors
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We begin by reporting on some recent results of the authors (Frederico and Torres, 2006), concerning the use of the fractional Euler-Lagrange notion to prove a Noether-like theorem for the problems of the calculus of variations with fractional derivatives. We then obtain, following the Lagrange multiplier technique used in (Agrawal, 2004), a new version of Noether's theorem to fractional optimal control systems.

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